It was almost certainly a harlequin ladybird, this species has spread widely through southern England since its arrival in Essex in 2004. In the USA and other countries where it is proving a bit of a problem, it congregates in large winter clusters and is attracted into houses. Try to move them to a shed where they will settle down. They will give off a 'safe-house' pheromone, recruiting more specimens to settle and this scent will linger to bring them back to the same spots year after year. Better in an outhouse than in the corner of the living room.
Grace, I'm so glad you don't mind spiders. Many of my daughters' schoolfriends all squeal when one of our large house spiders marches across the carpet in front of the television. Both my girls have learnt that to get rid of a spider from indoors all you have to do is put a glass over the top and slide a card underneath. Then just bung it by the compost bin to join its outdoor brothers and sisters.